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Finding the Third Proportional to 108,033.94 and 163,541.53

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Solution

The third proportional to 108,033.94 and 163,541.53 is: 247,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,033.94 : 163,541.53 = 163,541.53 : x
  2. Step 2: Convert to fraction form
    108,033.94/163,541.53 = 163,541.53/x
  3. Step 3: Cross multiply
    108,033.94x = 163,541.53 × 163,541.53
  4. Step 4: Simplify right side
    108,033.94x = 26,745,832,443.59
  5. Step 5: Solve for x
    x = 26,745,832,443.59/108,033.94
  6. Step 6: Final answer
    x = 247,568.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.